Welcome to IntertwiningWavelet’s documentation!¶
This toolbox is dedicated to a method called IntertwiningWavelet (IW) which provides a multiresolution analysis on non oriented graphs. It provides a wavelet basis on a graph and can analyse a banch of signals defined on this graph.
The method is fully described and analysed in [cit2], [cit3] and a quicker description can be found in [cit1]. The approach relies on probabilistic tools: a random spanning forest to downsample the set of vertices, and approximate solutions of Markov intertwining relation [cit3] to provide a subgraph structure and a filterbank which is a basis of the set of functions. As a by-product, the method provides a graph coarse-graining procedure.
Contents:
- Home
- IntertwiningWavelet Tutorials
- Install IntertwiningWavelet
- First steps with IntertwiningWavelet
- Compare IW wavelets with classical wavelets: linear approximation of signals
- Compare IW wavelets with classical wavelets: non linear approximation of signals
- Run IntertwiningWavelet on other standard graphs: the sensor
- Run IntertwiningWavelet on other standard graphs: the Minnesota
- Welcome to IntertwiningWavelet’s reference!
- Indices and tables